31113101101 has 2 divisors, whose sum is σ = 31113101102. Its totient is φ = 31113101100.

The previous prime is 31113101099. The next prime is 31113101137. The reversal of 31113101101 is 10110131113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22557036100 + 8556065001 = 150190^2 + 92499^2 .

It is a cyclic number.

It is not a de Polignac number, because 31113101101 - 2¹ = 31113101099 is a prime.

Together with 31113101099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31113101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556550550 + 15556550551.

It is an arithmetic number, because the mean of its divisors is an integer number (15556550551).

Almost surely, 2^31113101101 is an apocalyptic number.

It is an amenable number.

31113101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31113101101 is an equidigital number, since it uses as much as digits as its factorization.

31113101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 31113101101 its reverse (10110131113), we get a palindrome (41223232214).

It can be divided in two parts, 31113 and 101101, that multiplied together give a palindrome (3145555413).

The spelling of 31113101101 in words is "thirty-one billion, one hundred thirteen million, one hundred one thousand, one hundred one".